Find the scale factor and distance d. Assume that the ratio of d to 75 ft is the same as the ratio of 240 ft to 40 ft.
Let's use x as the scale factor.
We are given that the ratio of d to 75 ft is the same as the ratio of 240 ft to 40 ft, so we can set up the equation:
d/75 = 240/40
To solve for d, we can cross multiply:
40d = 75 * 240
40d = 18000
d = 18000/40
d = 450 ft
Now, to find the scale factor x, we can use the ratio of the two given distances:
240/40 = 450/75
6 = 6
This shows that the ratio of the given distances is equal, so the scale factor is x = 6.